For the differential equation with constants and

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

For the differential equation

\dfrac{dy}{dx}=r y\left(1-\dfrac{y}{6}\right)-s

with constants

r>0

and

s\ge 0

, determine the value of

s

(in terms of

r

) that makes

y=3

an equilibrium solution.